Representations of Reductive p-adic Groups pp 263-289 | Cite as

# On Relatively Tempered Representations for *p*-adic Symmetric Spaces

## Abstract

We generalize a well known subrepresentation theorem for tempered representations to the context of relatively tempered representations for *p*-adic symmetric spaces, assuming \(p\ne 2\).

## Notes

### Acknowledgements

The author was partially supported by Simons Foundations Collaboration Grant #35952, NSA Young Investigator Grant H98230-16-1-0312, and an AMS Centennial Fellowship for 2017–2018. Part of the paper was completed while he was visiting the National University of Singapore in fall 2017 and spring 2018, and he would like to express thanks for their hospitality. He would like to thank Wee Teck Gan for useful conversations and Kimball Martin for introducing him to the works of Kato and Takano. Finally he would like to thank Kenji Takano for sending him the preprint [8].

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